Canonical quantization of cylindrical gravitational waves with two polarizations

TL;DR

This paper presents a canonical quantization method for cylindrically symmetric gravitational waves with two polarizations, extending previous models and enabling calculations of physical expectation values in a quantum framework.

Contribution

It introduces a Fock space representation for the nonlinear midisuperspace model of cylindrical gravitational waves with two polarizations, generalizing earlier linear approaches.

Findings

Constructed a Fock space for the model

Established a method to compute physical expectation values

Extended quantization to nonlinear gravitational wave models

Abstract

The canonical quantization of the essentially nonlinear midisuperspace model describing cylindrically symmetric gravitational waves with two polarizations is presented. A Fock space type representation is constructed. It is based on a complete set of quantum observables. Physical expectation values may be calculated in arbitrary excitations of the vacuum. Our approach provides a non-linear generalization of the quantization of the collinearly polarized Einstein-Rosen gravitational waves.